Question

Four times the cube of a number is less than the difference between forty and the number. Select the inequality that represents this relationship.
(4x)3 < 40 - x

4x3 < x - 40

(4x)3 < x - 40

4x3 < 40 - x

Answer 1

Answer:

Step-by-step explanation:

let the number be x, now we are given that four times the cube of a number which means four multiplied by the cube of number

i.e 4 multiplied by  is less than the difference of 40 and the number x i.e 40 - x

x is for sure less than 40 as  is less than the difference between 40 and x so if we write x - 40 then we will obtain negative value which will be greater than .

Answer 2

Answer:

$4x^3 < 40 - x$

Explanation:

let the number be x, now we are given that four times the cube of a number which means four multiplied by the cube of number

i.e 4 multiplied by $x^3$ is less than the difference of 40 and the number x i.e 40 - x

x is for sure less than 40 as $x^3$ is less than the difference between 40 and x so if we write x - 40 then we will obtain negative value which will be greater than $x^3$.

So, the inequality obtained can be written as $4x^3 < 40 - x$